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Atlas › Integer Profiles › Node 43,124,264

43,124,264

23 × 23 × 71 × 3301
Deficient Even Composite

43,124,264 factors as 2^3 × 23 × 71 × 3301. Its 32 positive divisors give a proper-divisor sum of 42,463,576, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2^3 × 23 × 71 × 3301
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 85,587,840
Proper Divisor Sum 42,463,576
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #43124261 ← → #43124267

Radix Representation

Decimal 43124264
Binary 10100100100000011000101000 (26 bits)
Octal 0o244403050
Hexadecimal 0x2920628

Divisor Catalog (32)

1 2 4 8 23 46 71 92 142 184 284 568 1,633 3,266 3,301 6,532 6,602 13,064 13,204 26,408 75,923 151,846 234,371 303,692 468,742 607,384 937,484 1,874,968 5,390,533 10,781,066 21,562,132 43,124,264

Collatz Trajectory (129 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

43,124,264 21,562,132 10,781,066 5,390,533 16,171,600 8,085,800 4,042,900 2,021,450 1,010,725 3,032,176 1,516,088 758,044 379,022 189,511 568,534 284,267 852,802 426,401 1,279,204 639,602 319,801 959,404 479,702 239,851 719,554 359,777 1,079,332 539,666 269,833 809,500 404,750 202,375 607,126 303,563 910,690 455,345 1,366,036 683,018 341,509 1,024,528 512,264 256,132 128,066 64,033 192,100 96,050 48,025 144,076 72,038 36,019 108,058 54,029 162,088 81,044 40,522 20,261 60,784 30,392 15,196 7,598

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